> The answer is simple. Actually James Horner wrote a music for Die Hard but
> the director didn't liked it. Than camed Michael Kamen who took his music.

The cue by Horner at the end of Die Hard (1988) is completely identical to the one from Aliens (1986). Even if Horner had originally written an entire rejected score for Die Hard, he's never been so blattently "ripoffish" as to use an exact recording from his previous work (argue as you will). Die Hard director John McTiernan says on the DVD comentary track for the film that Kamen originally composed his own version for the climactic shooting scene but felt it didn't work so he quickly licensed Horner's piece from Aliens. This would have been easy considering both films are from 20th Century Fox.